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Brukner-Zeilinger invariant information in the presence of conjugate symmetry

文献类型：期刊论文

作者Li, Nan1,2; Luo, Shunlong1,2; Sun, Yuan3
刊名PHYSICAL REVIEW A
出版日期2022-09-02
卷号106期号:3页码:7
ISSN号2469-9926
DOI10.1103/PhysRevA.106.032404
英文摘要To quantify the intrinsic information content in a quantum state, Brukner and Zeilinger introduced the concept of operationally invariant information in terms of the outcome probabilities of measuring a complete set of mutually complementary observables [ C?. Brukner and A. Zeilinger, Phys. Rev. Lett. 83, 3354 (1999)]. This information quantity has basic significance and implications, and the present work is devoted to some further studies of it. We first introduce the Brukner-Zeilinger invariant information in the presence of conjugate symmetry or antisymmetry, which are motivated by considerations of fundamental issues concerning conjugate symmetry in quantum mechanics. Then we prove that both the Brukner-Zeilinger invariant information with conjugate symmetry and that with conjugate antisymmetry are convex in the quantum state, and we show that they constitute a natural decomposition of the Brukner-Zeilinger invariant information. We further relate them to the imaginarity (i.e., the usage of a complex number field) of quantum mechanics and evaluate their extreme values.
资助项目National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11775298] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[12005104] ; National Natural Science Foundation of China[61833010] ; Youth Innovation Promotion Association of CAS[2020002] ; Natural Science Foundation of the Jiangsu Higher Education Institutions of China[20KJB140028]
WOS研究方向Optics ; Physics
语种英语
WOS记录号WOS:000863118800010
出版者AMER PHYSICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60901]  
专题应用数学研究所
通讯作者Li, Nan
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
推荐引用方式
GB/T 7714		 Li, Nan,Luo, Shunlong,Sun, Yuan. Brukner-Zeilinger invariant information in the presence of conjugate symmetry[J]. PHYSICAL REVIEW A,2022,106(3):7.
APA Li, Nan,Luo, Shunlong,&Sun, Yuan.(2022).Brukner-Zeilinger invariant information in the presence of conjugate symmetry.PHYSICAL REVIEW A,106(3),7.
MLA Li, Nan,et al."Brukner-Zeilinger invariant information in the presence of conjugate symmetry".PHYSICAL REVIEW A 106.3(2022):7.

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来源：数学与系统科学研究院

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